Prove that coseca cota 2 1 cosa 1 cosa
Asked by admin @ in Math viewed by 248 People
CosecA - cotA )^ 2= 1 - cos A / 1+ cos A prove this
Answered by admin @
Heya dear
here is ya answer
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LHS
( cosecA - cotA )²
= ( 1/ sinA - cosA/sinA )²
= ( 1 - cosA/ sinA )²
= ( 1 + cosA )²/ sin²A
= ( 1 - cosA )²/ 1 - cos²A
= ( 1 - cosA ) ( 1 - cosA )/ ( 1 + cosA ) ( 1 - cosA )
= 1 - cosA / 1 + cosA
.°. RHS
thanks
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